As trains are continually designed for higher and higher speeds the problems of railway carriage vibration are on the increase. Lateral vibrations in a railway carriage are noticeable to passengers if the vibration frequencies are lower than approximately 20 Hz. Below this frequency discomfort is a common problem for the passengers and below approximately 1 Hz motion sickness is a problem. The passive solution of stiffening the carriage chassis to shift the vibrational frequencies higher up results in inflated manufacturing and running costs, and opposes higher travel speeds due to increased weight. Semi-passive solutions such as modifying the structural dynamics of the carriage body by decoupling heavy under-floor equipment does not come with a weight penalty, but do not reduce the vibrations sufficiently. However, by using an active vibration control system it is possible to improve the attenuation of the lateral train vibrations. This paper addresses two simple active vibration control systems for reducing lateral vibrations: one feedforward system and one feedback. Computer simulations based on signals derived from a dynamic computer model of a train indicates that the incorporation of an active control system, in addition to the semi-passive approach, is likely to introduce an improved attenuation of the low-frequency lateral vibrations. Active control results illustrate an attenuation of the lateral carriage vibration by up to 15 dB.